Add curvature to the edge of my UV Sphere that has a hole through it
We, people from forensic department ... we already know :)
But yes ... please  use more illustrative screenshot like - switch to edit mode to see wire (topology) of your mesh with probably more distance so we can get more context.

If I'm right ... just select top edge loop Alt+Shift
And Bevel Ctrl+B it (with Middle mouse add more loops.

Or use Bevel modifier as non destructive ... just create a Vertex group from top vertices.